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Polytropic inspired inflation

We study the chaotic inflation in the context of a gravity theory where the Friedman equation is modified, inspired by the polytropic gas equation of state. It is seen that in the $n=1$ case for the polytropic index the inflaton field at the end of inflation $ϕ_e$, depends on the Planck mass, while for $n\neq1$ it generally depends on the polytropic constant and mass of the inflaton field.